2010/01/29 by Rosy Teh, Teh, Rosy, K. M. Wong +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1001.5315
Two figures, 13 pages, to be sent for publication
arxiv created 2010/04/28 · arxiv updated 2010/04/29
Recently, the monopole-antimonopole pair and monopole-antimonopole chain solutions are solved with internal space coordinate system of θ-winding number m greater than one. However, we notice that it is also possible to solve these solutions numerically in terms of θ-winding number m=1 instead. When m=1, the exact asymptotic solutions at small and large distances are parameterized by a single integer parameter s. Here we once again study the monopole-antimonopole pair solution of the SU(2) Yang-Mills-Higgs theory which belongs to the topological trivial sector numerically in its new form. This solution with θ-winding and ϕ-winding number one is parameterized by s=0 at small r and s=1 at large r.